The relationship between a distance in yards ( $$y$$ ) and the same distance in miles ( $$m$$ ) is described by the equation $$y = 1760m$$ . Find measurements in yards and miles for distances by completing the table. Is there a proportional relationship between a measurement in yards and a measurement in miles for the same distance? Explain why or why not.

distance measured in miles distance measured in yards 1 1,760 5 8,800 2 3,520 10 17,600

Use the equation $$y \frac52 x$$ to complete the table. Is $$y$$ proportional to $$x$$ ? Explain why or why not.

$$x$$ $$y$$ 2 5 3 $$\frac{15}{2}$$ 6 15

Yes, there is a proportional relationship between $$x$$ and $$y$$ since $$\frac{y}{x} = \frac52$$ in each row.

Use the equation $$y = 3.2x+5$$ to complete the table. Is $$y$$ proportional to $$x$$ ? Explain why or why not.

$$x$$ $$y$$ 1 8.2 2 11.4 4 17.8

No, there is no proportional relationship between $$x$$ and $$y$$ . In the first row $$\frac{y}{x}= 8.2$$ but in the second row $$\frac{y}{x} = 5.7$$ .

Grade 7 | Unit 2 | Lesson 8: Comparing Relationships with Equations | Practice Problems

6th Grade

•

7 Qs

Similar activities

LOGARITHMS

9th - 12th Grade

•

12 Qs

REMOVAL OF BRACKETS INTRODUCTION

8th - 10th Grade

•

10 Qs

Simple Interest

11th Grade - University

•

12 Qs

9N01 Exponents

9th Grade

•

10 Qs

HK1-K10- GIAO TIẾP

10th - 12th Grade

•

10 Qs

Writing Linear Equations

8th Grade

•

11 Qs

Mathcounts practice

6th - 8th Grade

•

10 Qs

Order of Operation <KRUANN:D>

7th Grade

•

10 Qs

Grade 7 | Unit 2 | Lesson 8: Comparing Relationships with Equations | Practice Problems

Quiz

•

Mathematics

•

6th Grade

•

Practice Problem

•

Medium

•

CCSS

7.RP.A.2C, HSF-LE.A.1B, 7.RP.A.2B

Standards-aligned

Illustrative Mathematics

Used 3+ times

FREE Resource

7 questions

Show all answers

MULTIPLE SELECT QUESTION

30 sec • 1 pt

distance measured in miles	distance measured in yards
1	1,760
5	8,800
2	3,520
10	17,600

There is a proportional relationship. The constant of proportionality is 1760 yards per mile.

Tags

CCSS.7.RP.A.2C

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Decide whether or not each equation represents a proportional relationship.

Tags

CCSS.7.RP.A.2C

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Tags

CCSS.7.RP.A.2B

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Tags

CCSS.7.RP.A.2D

FILL IN THE BLANK QUESTION

30 sec • 1 pt

Tags

CCSS.HSA.CED.A.3

OPEN ENDED QUESTION

3 mins • 1 pt

Evaluate responses using AI:

OFF

Tags

CCSS.HSF-LE.A.1B

OPEN ENDED QUESTION

3 mins • 1 pt

Each byte contains 8 bits of information. Write an equation to represent the relationship between the number of packets and the number of bits.

Evaluate responses using AI:

OFF

Tags

CCSS.HSF-LE.A.1B

Similar Resources on Wayground

12 questions

Angles related to line

Quiz

•

8th Grade

10 questions

MGSE.7.G2 (Triangles)

Quiz

•

KG - University

10 questions

Proportion Word Problems

Quiz

•

6th Grade

12 questions

Revision

Quiz

•

6th Grade

10 questions

Polynomials with Fractions Quiz

Quiz

•

7th Grade

10 questions

Precalculus 5.1-5.3 Quiz

Quiz

•

11th - 12th Grade

12 questions

Mathematic Revision

Quiz

•

6th - 9th Grade

10 questions

Equation of the circle

Quiz

•

10th Grade - University

Popular Resources on Wayground

5 questions

This is not a...winter edition (Drawing game)

Quiz

•

1st - 5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

20 questions

Christmas Trivia

Quiz

•

6th - 8th Grade

18 questions

Kids Christmas Trivia

Quiz

•

KG - 5th Grade

11 questions

How well do you know your Christmas Characters?

Lesson

•

3rd Grade

14 questions

Christmas Trivia

Quiz

•

5th Grade

20 questions

How the Grinch Stole Christmas

Quiz

•

5th Grade

Discover more resources for Mathematics

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

21 questions

Convert Fractions, Decimals, and Percents

Quiz

•

6th Grade

20 questions

Exponents

Quiz

•

6th Grade

22 questions

Christmas Math Fun--5th grade

Quiz

•

4th - 6th Grade

24 questions

Evaluate and Simplify Algebraic Expressions

Quiz

•

6th Grade

24 questions

Winter Holiday Trivia

Quiz

•

6th Grade

10 questions

Exploring Global Holiday Traditions

Interactive video

•

6th - 10th Grade

10 questions

Guess the Christmas Movie by the Scene Challenge

Interactive video

•

6th - 10th Grade